dorsal/arxiv
View SchemaCausal Wave Mechanics and the Advent of Complexity. V. Quantum field mechanics
| Authors | Andrei P. Kirilyuk |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9511038 |
| URL | https://arxiv.org/abs/quant-ph/9511038 |
Abstract
The physical consequences of the analysis performed in Parts I-IV are outlined within a scheme of the complete quantum (wave) mechanics called quantum field mechanics and completing the original ideas of Louis de Broglie by the dynamic complexity concept. The total picture includes the formally complete description at the level of the "average" wave function of Schroedinger type that shows dynamically chaotic behaviour in the form of either quantum chaos (Parts I-III), or quantum measurement (Part IV) with causal indeterminacy and wave reduction. This level is only an approximation, though often sufficient, to a lower (and actually the lowest accessible) level of complexity containing the causally complete version of the unreduced, nonlinear "double solution" proposed by Louis de Broglie. The extended 'double solution with chaos' describes the state of a nonlinear material field and includes the unstable high-intensity "hump" moving chaotically within the embedding smooth wave (quant-ph/9902015,16). The involvement of chaos causally understood within the same concept of dynamic complexity (multivaluedness) provides, at this lower level, de Broglie's "hidden thermodynamics" now, however, without the necessity for any real "hidden thermostat". The chaotic reduction of the "piloting" Schroedinger wave, at the higher sublevel of complexity, conforms with the detailed 'wandering' of the virtual soliton at the lower sublevel. The proposed dynamic multivaluedness (redundance) paradigm serves as the basis for a self-consistent hierarchic picture of the world with a (high) non-zero complexity (and thus irreducible randomness), where the complete extension of quantum mechanics is causally interpreted as several lowest levels of complexity.
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"abstract": "The physical consequences of the analysis performed in Parts I-IV are\noutlined within a scheme of the complete quantum (wave) mechanics called\nquantum field mechanics and completing the original ideas of Louis de Broglie\nby the dynamic complexity concept. The total picture includes the formally\ncomplete description at the level of the \"average\" wave function of\nSchroedinger type that shows dynamically chaotic behaviour in the form of\neither quantum chaos (Parts I-III), or quantum measurement (Part IV) with\ncausal indeterminacy and wave reduction. This level is only an approximation,\nthough often sufficient, to a lower (and actually the lowest accessible) level\nof complexity containing the causally complete version of the unreduced,\nnonlinear \"double solution\" proposed by Louis de Broglie. The extended \u0027double\nsolution with chaos\u0027 describes the state of a nonlinear material field and\nincludes the unstable high-intensity \"hump\" moving chaotically within the\nembedding smooth wave (quant-ph/9902015,16). The involvement of chaos causally\nunderstood within the same concept of dynamic complexity (multivaluedness)\nprovides, at this lower level, de Broglie\u0027s \"hidden thermodynamics\" now,\nhowever, without the necessity for any real \"hidden thermostat\". The chaotic\nreduction of the \"piloting\" Schroedinger wave, at the higher sublevel of\ncomplexity, conforms with the detailed \u0027wandering\u0027 of the virtual soliton at\nthe lower sublevel. The proposed dynamic multivaluedness (redundance) paradigm\nserves as the basis for a self-consistent hierarchic picture of the world with\na (high) non-zero complexity (and thus irreducible randomness), where the\ncomplete extension of quantum mechanics is causally interpreted as several\nlowest levels of complexity.",
"arxiv_id": "quant-ph/9511038",
"authors": [
"Andrei P. Kirilyuk"
],
"categories": [
"quant-ph",
"chao-dyn",
"nlin.CD"
],
"title": "Causal Wave Mechanics and the Advent of Complexity. V. Quantum field mechanics",
"url": "https://arxiv.org/abs/quant-ph/9511038"
},
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